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Czaja, R.* ; Efendiyev, M.A.

Pullback exponential attractors for nonautonomous equations. Part II: Applications to reaction-diffusion systems.

J. Math. Anal. Appl. 381, 766-780 (2011)

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Open Access Green as soon as Postprint is submitted to ZB.

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The existence of a pullback exponential attractor being a family of compact and positively invariant sets with a uniform bound on their fractal dimension which at a uniform exponential rate pullback attract bounded subsets of the phase space under the evolution process is proved for the nonautonomous logistic equation and a system of reaction-diffusion equations with time-dependent external forces including the case of the FitzHugh-Nagumo system.

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Publication type Article: Journal article

Document type Scientific Article

Corresponding Author

Keywords Exponential attractor; Pullback attractor; Fractal dimension; Nonautonomous dynamical systems; Reaction-diffusion equations

ISSN (print) / ISBN 0022-247X

e-ISSN 1096-0813

Journal Journal of Mathematical Analysis and Applications

Quellenangaben Volume: 381, Issue: 2, Pages: 766-780

Publisher Elsevier

Non-patent literature Publications

Reviewing status Peer reviewed

Institute(s) Institute of Biomathematics and Biometry (IBB)